Answer:
The steps that involve for finding the equation of the line are as follow,
Step 1 : Since, the general equation of a line is y = mx + c
Where, m is the slope of the line,
Step 2 : By the graph,
The y-intercept( the point at which the line intersects the y-axis ) of the line is (0,3),
Step 3 : Again by the graph,
The second point on the line is (1,7),
Step 4 : Since, the slope of a line passes through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 5 : Thus, the slope of the line passes through the points (0,3) and (1,7) is,
[tex]m=\frac{7-3}{1-0}[/tex]
Step 6 :
Perform subtraction,
[tex]m=\frac{4}{1}=4[/tex]
Step 7 : By substituting the value of m into the general equation,
y = 4x + c
(0,3) must satisfy this equation,
3 = 0 + c
⇒ c = 3,
Thus, by substitution,
We get,
y = 4x + 3
Step 8 :
Hence, the required equation of the given line is,
y = 4x + 3
